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Finding the Fourth Proportional to 7,843.84, 11,757.86 and 3,460.52

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Solution

The fourth proportional to 7,843.84, 11,757.86 and 3,460.52 is: 5,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.84 : 11,757.86 = 3,460.52 : x
  2. Step 2: Convert to fraction form
    7,843.84/11,757.86 = 3,460.52/x
  3. Step 3: Cross multiply
    7,843.84x = 11,757.86 × 3,460.52
  4. Step 4: Simplify right side
    7,843.84x = 40,688,334.76
  5. Step 5: Solve for x
    x = 40,688,334.76/7,843.84
  6. Step 6: Final answer
    x = 5,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.